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Finding the Fourth Proportional to 476,928,019.20, 715,392,028.80 and 408,903,571.20

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Solution

The fourth proportional to 476,928,019.20, 715,392,028.80 and 408,903,571.20 is: 613,355,356.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,928,019.20 : 715,392,028.80 = 408,903,571.20 : x
  2. Step 2: Convert to fraction form
    476,928,019.20/715,392,028.80 = 408,903,571.20/x
  3. Step 3: Cross multiply
    476,928,019.20x = 715,392,028.80 × 408,903,571.20
  4. Step 4: Simplify right side
    476,928,019.20x = 292,526,355,384,333,248
  5. Step 5: Solve for x
    x = 292,526,355,384,333,248/476,928,019.20
  6. Step 6: Final answer
    x = 613,355,356.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.